1) a. Solve the following system of linear equations by usiing elimination method.Ox-0 y= 95x+2y 2B)Let P = e="|and R = L°,e-312.0-R=P+Ix0, where l, is the identity matrix and 0 is the null matrix.[w+7-31be tow matrices. Find the value of W and Xif1 215 2Lx-

a)The given system,0x-0y=95x+2y=2b)P=0552, Q=w+7-352 and R=0-3x-12

Answered: 1) a. Solve the following system of…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Consider the following linear equations: -2x + 4y + 10z = -5 -2x + (22-k)y+9z = -3 -2x + 4y+(12-k)z =k+9 a) Suppose the above equation is expressed as Ax = b with x = equations in one matrix form as (Alb)= -2 -2 -2 4 -2 10 4 X3 10 -5 b) Use row operations on (Alb) by substracting row 1 from row 2 and row 3 respectively. Fill in the missing entries: Express the coefficients of the -5 Submit part 3 marks Unanswered
11. a. Find the inverse of the matrix if it exists: 5 15 56 -11 A = |-1 -4 -11 -41] -3 b. Solve the following system of equations, if possible: 5x1 + 15x2 + 56x3 -X1 - 3x2 - 11x3 = -7 -4x1 - 11x2 – 41x3 = -26 35 %3D 019 Chp 144 f12 ins ort sc 云

I. Consider the following linear system: 3x1 + 9x2 + 3x3 = 6 2x1 — 2х1 — 4x2 X3 = 12 = -8 We can view this system as a matrix equation: 3 9 31 0 -1 2 12 -2 -4 Which has the form: Ax X = B To solve the original system, we can solve this equation for X by multiplying by A-1: A-1x (A x X) = A-! × B (A-1 × A) × X = A-1 × B Iz x X = A-1 × B X = A-1 x B Use the bottom equation to solve for X. Find A-1 for the matrix A and solve the original system by using A-1 and Bin the (1) equation below. X = A-1 x B (2] Use the matrix A² you just found to solve the system: 3x1 + 9x2 + 3x3 = 12 2x1 -2x1 – 4x2 X3 = 9 = -3
Consider the following linear equations: -5x + 5y +7z : 3 = 5 -5x+(21-k)y + 6z -5x + 5y + (11- k)z =k+11 a) X1 Suppose the above equation is expressed as Ax = b with x = X2 X3 equations in one matrix form as (A[b)= -5 5 7 124 -5 -5 Express the coefficients of the 3
9) Solve the set of equations by finding the inverse of the coefficient matrix: x - 2y = 5 3x + y = 15 formation of vectors in
Which of the following is the augmented matrix for the linear system 2х — у + 32 — 0 - 2x + y – 2z =1 2 -1 3 1 -2 1 -2 0 2 -1 3 1 -2 1 -2 2 -1 3 -2 1 -2 1 2 -1 -2 11 2 -1 3 -2 1 -2
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2. Solve the following system of linear equations by first finding the LU factorization of the coefficient matrix: x₁ + 2x₂ + 3x3 = 2 2x₁x₂ + x3 = 4 -x₁ + 4x₂ 3x3 = 1
Consider the system of linear equations given by:2x1+ x2− 3x3=8−x2+ 2x3=−4 9x1+ 4x2− x3=9 Write the system in matrix form Ax=B. Calculate the determinant of matrix A (∣A∣)
Use an LU-factorization of the coefficient matrix to solve the follow- ing system of linear equations. x + 2y + z = 1 x + 2y – z 3 x – 2y + z -3.
Q.2 Solve the following set of equations using the inverse of the coefficient matrix: 8x2+2xy=-7 2xy +5x2-8-3x1 6x₁+2x2-26-8xy

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1) a. Solve the following system of linear equations by using elimination method. Ox-0 y= 9 5x + 2y = 2 B) [w +7 -31 and R = 2 -31 be tow matrices. Find the value of W and X if 2 Let P = Lx-1 Q-R= P+lx 0, where I, is the identity matrix and 0 is the null matrix.